Isometries of spaces of log-integrable functions

DOI10.33048/SEMI.2020.17.016zbMath1450.46002OpenAlexW3018536701MaRDI QIDQ2306047

Bekzod Madaminov, Vladimir I. Chilin, Rustam Z. Abdullaev

Publication date: 20 March 2020

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33048/semi.2020.17.016

zbMATH Keywords

Boolean algebrasisometries\(F\)-spaceslog-integrable functionsmeasure preserving isomorphisms

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Isometric theory of Banach spaces (46B04)

Cites Work

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• Algebras of log-integrable functions and operators
• On the isometries of certain function-spaces
• The validity space of Dunford-Schwartz pointwise ergodic theorem
• Isomorphic classification of \(^*\)-algebras of log-integrable measurable functions
• Logarithmic submajorisation and order-preserving linear isometries

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